155.33 is what percent of 221.99 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 221.99 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 221.99, so we can write it down as 100%=221.99.
4. We know, that x% equals 155.33 of the output value, so we can write it down as x%=155.33.
5. Now we have two simple equations:
1) 100%=221.99
2) x%=155.33
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=221.99/155.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.33 is what percent of 221.99

100%/x%=221.99/155.33
(100/x)*x=(221.99/155.33)*x       - we multiply both sides of the equation by x
100=1.4291508401468*x       - we divide both sides of the equation by (1.4291508401468) to get x
100/1.4291508401468=x
69.971620343259=x
x=69.971620343259

now we have:
155.33 is 69.971620343259% of 221.99